{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 使用梯度上升法求解主成分"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 准备数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.empty((100, 2))\n",
    "X[:, 0] = np.random.uniform(0., 100., size=100)\n",
    "X[:, 1] = 0.75 * X[:, 0] + 3. + np.random.normal(0, 10, size=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## demean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def demean(X):\n",
    "    return X - np.mean(X, axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_demean = demean(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_demean[:, 0], X_demean[:, 1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-2.2808421817899216e-14"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(X_demean[:, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-5.613287612504792e-15"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(X_demean[:, 1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 梯度上升法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(w, X):\n",
    "    return np.sum((X.dot(w) ** 2)) / len(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def df_math(w, X):\n",
    "    return X.T.dot(X.dot(w)) * 2. / len(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def df_debug(w, X, epsilon = 0.0001):\n",
    "    res = np.empty(len(w))\n",
    "    for i in range(len(w)):\n",
    "        w_1 = w.copy()\n",
    "        w_1[i] += epsilon\n",
    "        w_2 = w.copy()\n",
    "        w_2[i] -= epsilon\n",
    "        \n",
    "        res[i] = (f(w_1, X) - f(w_2, X)) / (2 * epsilon)\n",
    "    return res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 将w化为单位向量\n",
    "def direction(w):\n",
    "    return w / np.linalg.norm(w)\n",
    "# 梯度上升法\n",
    "def gradient_ascent(df, X, initial_w, eta, n_iters=1e4, epsilon=1e-8):\n",
    "    w = direction(initial_w)\n",
    "    cur_iter = 0\n",
    "    \n",
    "    while cur_iter < n_iters:\n",
    "        gradient = df(w, X)\n",
    "        last_w = w\n",
    "        w = w + eta * gradient\n",
    "        w = direction(w)  # 注意1：每次循环需要把w化为单位向量\n",
    "        if(abs(f(w, X) - f(last_w, X)) < epsilon):\n",
    "            break\n",
    "        \n",
    "        cur_iter += 1\n",
    "    \n",
    "    return w "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.47394067, 0.68137824])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 注意2：不能用0向量开始\n",
    "initial_w = np.random.random(X.shape[1])\n",
    "initial_w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "eta = 0.001"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.76608465, 0.64273969])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 注意3：不能使用StandardScaler归一化数据，会使得训练数据的方差变小，找不到PCA后的方差最大化的结果了\n",
    "gradient_ascent(df_debug, X_demean, initial_w, eta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.76608465, 0.64273969])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w = gradient_ascent(df_math, X_demean, initial_w, eta)\n",
    "w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制降维后的坐标轴的方向\n",
    "plt.scatter(X_demean[:, 0], X_demean[:, 1])\n",
    "plt.plot([0, w[0] * 30], [0, w[1] * 30], color='r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用一个更规律的数据验证梯度上升法的正确性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "X2 = np.empty((100, 2))\n",
    "X2[:, 0] = np.random.uniform(0., 100., size=100)\n",
    "X2[:, 1] = 0.75 * X2[:, 0] + 3."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X2[:, 0], X2[:, 1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "X2_demean = demean(X2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.76608465, 0.64273969])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w2 = gradient_ascent(df_math, X_demean, initial_w, eta)\n",
    "w2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X2_demean[:, 0], X2_demean[:, 1])\n",
    "plt.plot([0, w2[0] * 30], [0, w2[1] * 30], color='r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看出降维后的轴跟原来数据所在是直线重合，所以求解正确"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 求数据的前n个主成分"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "X3 = np.empty([100, 2])\n",
    "X3[:, 0] = np.random.uniform(0., 100, size=100)\n",
    "X3[:, 1] = 0.75 * X3[:, 0] + 3. + np.random.normal(0, 10., size=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "X3_demean = demean(X3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X3[:, 0], X3[:, 1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "def first_component(X, initial_w, eta, n_iters=1e4, epsilon=1e-8):\n",
    "    w = direction(initial_w)\n",
    "    cur_iter = 0\n",
    "    \n",
    "    while cur_iter < n_iters:\n",
    "        gradient = df_math(w, X)\n",
    "        last_w = w\n",
    "        \n",
    "        w = w + eta * gradient\n",
    "        w = direction(w)\n",
    "        \n",
    "        if(abs(f(w, X) - f(last_w, X)) < epsilon):\n",
    "            break\n",
    "            \n",
    "    return w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.47394067, 0.68137824])"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "initial_w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.01"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eta = 0.01\n",
    "eta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.7770422, 0.6294485])"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w = first_component(X3_demean, initial_w, eta)\n",
    "w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "# X4 = np.empty(X3.shape)\n",
    "# for i in range(len(X)):\n",
    "#     X4[i] = X3_demean[i] - X3_demean[i].dot(w) * w\n",
    "# 向量化\n",
    "# X3.dot(w)结果是一个长度为m的列向量，需要转成一个矩阵\n",
    "X4 = X3 - X3.dot(w).reshape(-1, 1) * w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X4[:, 0], X4[:, 1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.62944153,  0.77704785])"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w2 = first_component(X4, initial_w, eta)\n",
    "w2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8.972570332332896e-06"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 两个向量互相垂直\n",
    "w.dot(w2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 求n个主成分\n",
    "def first_n_components(n, X, eta=0.01, n_iters=1e4, epsilon=1e-8):\n",
    "    X_pca = X.copy()\n",
    "    X_pca = demean(X_pca)\n",
    "    res = []\n",
    "    for i in range(n):\n",
    "        initial_w = np.random.random(X_pca.shape[1])\n",
    "        w = first_component(X_pca, initial_w, eta)\n",
    "        res.append(w)\n",
    "        X_pca = X_pca - X_pca.dot(w).reshape(-1, 1) * w\n",
    "    return res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[array([0.76608533, 0.64273888]), array([ 0.6427427 , -0.76608212])]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "first_n_components(2, X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.98963776540684e-06"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([0.76608533, 0.64273888]).dot(np.array([0.6427427 , -0.76608212]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 将高维数据映射到低维数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [],
   "source": [
    "X5 = np.empty((100, 2))\n",
    "X5[:, 0] = np.random.uniform(0., 100., size=100)\n",
    "X5[:, 1] = 0.75 * X5[:, 0] + 3. + np.random.normal(0, 10., size=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X5[:, 0], X5[:, 1], color='b', alpha=0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(n_components2)"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from pca.PCA import PCA\n",
    "pca = PCA(n_components=2)\n",
    "pca.fit(X5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.79894085,  0.60140961],\n",
       "       [-0.6014059 ,  0.79894364]])"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.components_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(n_components1)"
      ]
     },
     "execution_count": 114,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(n_components=1)\n",
    "pca.fit(X5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.79894085, 0.60140961]])"
      ]
     },
     "execution_count": 115,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.components_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 1)"
      ]
     },
     "execution_count": 116,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_production = pca.transform(X5)\n",
    "X_production.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_restore = pca.inverse_transform(X_production)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X5[:, 0], X5[:, 1], color='b', alpha=0.5)\n",
    "plt.scatter(X_restore[:, 0], X_restore[:, 1], color='r', alpha=0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ski-learn中的PCA "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=1, random_state=None,\n",
       "  svd_solver='auto', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 120,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(n_components=1)\n",
    "pca.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.76608525, -0.64273897]])"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.components_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_reduction = pca.transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 1)"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_reduction.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_restore = pca.inverse_transform(X_reduction)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1])\n",
    "plt.scatter(X_restore[:, 0], X_restore[:, 1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# scikit-learn小数据集手写识别"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 准备数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [],
   "source": [
    "digits = datasets.load_digits()\n",
    "X = digits.data\n",
    "y = digits.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 64)"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797,)"
      ]
     },
     "execution_count": 131,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1347, 64)"
      ]
     },
     "execution_count": 133,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1347,)"
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(450, 64)"
      ]
     },
     "execution_count": 135,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_test.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(450,)"
      ]
     },
     "execution_count": 136,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_test.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 直接用原始样本训练KNN模型，查看识别准确率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 7 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=None, n_neighbors=5, p=2,\n",
       "           weights='uniform')"
      ]
     },
     "execution_count": 138,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9866666666666667"
      ]
     },
     "execution_count": 139,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用PCA降维后的数据再训练KNN模型，查看识别准确率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将维度降至2维，查看训练效果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [],
   "source": [
    "pca = PCA(n_components=2)\n",
    "pca.fit(X_train)\n",
    "X_train_reduction = pca.transform(X_train)\n",
    "X_test_reduction = pca.transform(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 2 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=None, n_neighbors=5, p=2,\n",
       "           weights='uniform')"
      ]
     },
     "execution_count": 145,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train_reduction, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6066666666666667"
      ]
     },
     "execution_count": 146,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test_reduction, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "数据集维度降到2维后，每个维度可以解释的原数据的方差占比，两个维度只能解释27%的原数据的信息"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.14566817, 0.13735469])"
      ]
     },
     "execution_count": 147,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.45668166e-01, 1.37354688e-01, 1.17777287e-01, 8.49968861e-02,\n",
       "       5.86018996e-02, 5.11542945e-02, 4.26605279e-02, 3.60119663e-02,\n",
       "       3.41105814e-02, 3.05407804e-02, 2.42337671e-02, 2.28700570e-02,\n",
       "       1.80304649e-02, 1.79346003e-02, 1.45798298e-02, 1.42044841e-02,\n",
       "       1.29961033e-02, 1.26617002e-02, 1.01728635e-02, 9.09314698e-03,\n",
       "       8.85220461e-03, 7.73828332e-03, 7.60516219e-03, 7.11864860e-03,\n",
       "       6.85977267e-03, 5.76411920e-03, 5.71688020e-03, 5.08255707e-03,\n",
       "       4.89020776e-03, 4.34888085e-03, 3.72917505e-03, 3.57755036e-03,\n",
       "       3.26989470e-03, 3.14917937e-03, 3.09269839e-03, 2.87619649e-03,\n",
       "       2.50362666e-03, 2.25417403e-03, 2.20030857e-03, 1.98028746e-03,\n",
       "       1.88195578e-03, 1.52769283e-03, 1.42823692e-03, 1.38003340e-03,\n",
       "       1.17572392e-03, 1.07377463e-03, 9.55152460e-04, 9.00017642e-04,\n",
       "       5.79162563e-04, 3.82793717e-04, 2.38328586e-04, 8.40132221e-05,\n",
       "       5.60545588e-05, 5.48538930e-05, 1.08077650e-05, 4.01354717e-06,\n",
       "       1.23186515e-06, 1.05783059e-06, 6.06659094e-07, 5.86686040e-07,\n",
       "       1.71368535e-33, 7.44075955e-34, 7.44075955e-34, 7.15189459e-34])"
      ]
     },
     "execution_count": 151,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(n_components=X_train.shape[1])\n",
    "pca.fit(X_train)\n",
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "绘制前n个主成分和它们可以解释的原数据的方差的占比图像。例如前n个主成分加起来差不多可以解释80%以上的原数据信息。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x261cb030a58>]"
      ]
     },
     "execution_count": 153,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([i for i in range(X_train.shape[1])], [np.sum(pca.explained_variance_ratio_[:i + 1]) for i in range(X_train.shape[1])])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 155,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=0.95, random_state=None,\n",
       "  svd_solver='auto', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 155,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# PCA的类的构造方法中不仅可以传入降至多少维，\n",
    "# 还可以可以传入一个参数，希望能够解释原数据95%以上的信息，传入0.95即可\n",
    "pca = PCA(0.95)\n",
    "pca.fit(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "28"
      ]
     },
     "execution_count": 156,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.n_components_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对应地能够解释原数据95%以上的信息，所对应的维度数为28，跟上图是一致的"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train_reduction = pca.transform(X_train)\n",
    "X_test_reduction = pca.transform(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 3.98 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=None, n_neighbors=5, p=2,\n",
       "           weights='uniform')"
      ]
     },
     "execution_count": 159,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train_reduction, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.98"
      ]
     },
     "execution_count": 160,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test_reduction, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将数据降至二维后，虽然识别准确率不好，但是有个重要的应用场景，就是可以让我们进行数据可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {},
   "outputs": [],
   "source": [
    "pca = PCA(n_components=2)\n",
    "pca.fit(X_train)\n",
    "X_train_reduction = pca.transform(X_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在二维平面中查看数字0-9的分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(10):\n",
    "    plt.scatter(X_train_reduction[y_train == i, 0], X_train_reduction[y_train == i, 1], alpha=0.8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "从图中可以看出，蓝色、紫色、粉色、红色等数字和其他数字之间还是有很明显的界限的，两个维度已经几乎能将它们和其他数字区别开了。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# scikit-learn MNIST数据集手写识别"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 准备数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from sklearn.datasets import fetch_mldata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# mnist = fetch_mldata(\"MNIST original\")\n",
    "from sklearn.datasets import fetch_openml\n",
    "mnist = fetch_openml('mnist_784', data_home=\"test_data/\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'data': array([[0., 0., 0., ..., 0., 0., 0.],\n",
       "        [0., 0., 0., ..., 0., 0., 0.],\n",
       "        [0., 0., 0., ..., 0., 0., 0.],\n",
       "        ...,\n",
       "        [0., 0., 0., ..., 0., 0., 0.],\n",
       "        [0., 0., 0., ..., 0., 0., 0.],\n",
       "        [0., 0., 0., ..., 0., 0., 0.]]),\n",
       " 'target': array(['5', '0', '4', ..., '4', '5', '6'], dtype=object),\n",
       " 'feature_names': ['pixel1',\n",
       "  'pixel2',\n",
       "  'pixel3',\n",
       "  'pixel4',\n",
       "  'pixel5',\n",
       "  'pixel6',\n",
       "  'pixel7',\n",
       "  'pixel8',\n",
       "  'pixel9',\n",
       "  'pixel10',\n",
       "  'pixel11',\n",
       "  'pixel12',\n",
       "  'pixel13',\n",
       "  'pixel14',\n",
       "  'pixel15',\n",
       "  'pixel16',\n",
       "  'pixel17',\n",
       "  'pixel18',\n",
       "  'pixel19',\n",
       "  'pixel20',\n",
       "  'pixel21',\n",
       "  'pixel22',\n",
       "  'pixel23',\n",
       "  'pixel24',\n",
       "  'pixel25',\n",
       "  'pixel26',\n",
       "  'pixel27',\n",
       "  'pixel28',\n",
       "  'pixel29',\n",
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       "  'pixel767',\n",
       "  'pixel768',\n",
       "  'pixel769',\n",
       "  'pixel770',\n",
       "  'pixel771',\n",
       "  'pixel772',\n",
       "  'pixel773',\n",
       "  'pixel774',\n",
       "  'pixel775',\n",
       "  'pixel776',\n",
       "  'pixel777',\n",
       "  'pixel778',\n",
       "  'pixel779',\n",
       "  'pixel780',\n",
       "  'pixel781',\n",
       "  'pixel782',\n",
       "  'pixel783',\n",
       "  'pixel784'],\n",
       " 'DESCR': \"The MNIST database of handwritten digits with 784 features. It can be split in a training set of the first 60,000 examples, and a test set of 10,000 examples  \\n\\nIt is a subset of a larger set available from NIST. The digits have been size-normalized and centered in a fixed-size image. It is a good database for people who want to try learning techniques and pattern recognition methods on real-world data while spending minimal efforts on preprocessing and formatting. The original black and white (bilevel) images from NIST were size normalized to fit in a 20x20 pixel box while preserving their aspect ratio. The resulting images contain grey levels as a result of the anti-aliasing technique used by the normalization algorithm. the images were centered in a 28x28 image by computing the center of mass of the pixels, and translating the image so as to position this point at the center of the 28x28 field.  \\n\\nWith some classification methods (particularly template-based methods, such as SVM and K-nearest neighbors), the error rate improves when the digits are centered by bounding box rather than center of mass. If you do this kind of pre-processing, you should report it in your publications. The MNIST database was constructed from NIST's NIST originally designated SD-3 as their training set and SD-1 as their test set. However, SD-3 is much cleaner and easier to recognize than SD-1. The reason for this can be found on the fact that SD-3 was collected among Census Bureau employees, while SD-1 was collected among high-school students. Drawing sensible conclusions from learning experiments requires that the result be independent of the choice of training set and test among the complete set of samples. Therefore it was necessary to build a new database by mixing NIST's datasets.  \\n\\nThe MNIST training set is composed of 30,000 patterns from SD-3 and 30,000 patterns from SD-1. Our test set was composed of 5,000 patterns from SD-3 and 5,000 patterns from SD-1. The 60,000 pattern training set contained examples from approximately 250 writers. We made sure that the sets of writers of the training set and test set were disjoint. SD-1 contains 58,527 digit images written by 500 different writers. In contrast to SD-3, where blocks of data from each writer appeared in sequence, the data in SD-1 is scrambled. Writer identities for SD-1 is available and we used this information to unscramble the writers. We then split SD-1 in two: characters written by the first 250 writers went into our new training set. The remaining 250 writers were placed in our test set. Thus we had two sets with nearly 30,000 examples each. The new training set was completed with enough examples from SD-3, starting at pattern # 0, to make a full set of 60,000 training patterns. Similarly, the new test set was completed with SD-3 examples starting at pattern # 35,000 to make a full set with 60,000 test patterns. Only a subset of 10,000 test images (5,000 from SD-1 and 5,000 from SD-3) is available on this site. The full 60,000 sample training set is available.\\n\\nDownloaded from openml.org.\",\n",
       " 'details': {'id': '554',\n",
       "  'name': 'mnist_784',\n",
       "  'version': '1',\n",
       "  'format': 'ARFF',\n",
       "  'creator': ['Yann LeCun', 'Corinna Cortes', 'Christopher J.C. Burges'],\n",
       "  'upload_date': '2014-09-29T03:28:38',\n",
       "  'language': 'English',\n",
       "  'licence': 'Public',\n",
       "  'url': 'https://www.openml.org/data/v1/download/52667/mnist_784.arff',\n",
       "  'file_id': '52667',\n",
       "  'default_target_attribute': 'class',\n",
       "  'tag': ['AzurePilot',\n",
       "   'OpenML-CC18',\n",
       "   'OpenML100',\n",
       "   'study_1',\n",
       "   'study_123',\n",
       "   'study_41',\n",
       "   'study_99',\n",
       "   'vision'],\n",
       "  'visibility': 'public',\n",
       "  'status': 'active',\n",
       "  'processing_date': '2020-11-20 20:12:09',\n",
       "  'md5_checksum': '0298d579eb1b86163de7723944c7e495'},\n",
       " 'categories': {},\n",
       " 'url': 'https://www.openml.org/d/554'}"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mnist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = mnist['data'], mnist['target']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(70000, 784)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(70000,)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train = np.array(X[:60000], dtype=float)\n",
    "y_train = np.array(y[:60000], dtype=float)\n",
    "X_test = np.array(X[60000:], dtype=float)\n",
    "y_test = np.array(y[60000:], dtype=float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60000, 784)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60000,)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(10000, 784)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_test.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(10000,)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_test.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 直接使用原始样本训练KNN模型，查看识别准确率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 37 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=None, n_neighbors=5, p=2,\n",
       "           weights='uniform')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "\n",
    "knn_clf = KNeighborsClassifier()\n",
    "%time knn_clf.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 11min 11s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.9688"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time knn_clf.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "本次样本的训练和求准确率总共耗时11分11秒，还是很耗时间的，下面使用PCA对样本进行降维。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用PCA降维后的数据再训练KNN模型，查看识别准确率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "pca = PCA(0.9)\n",
    "pca.fit(X_train)\n",
    "X_train_redcution = pca.transform(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60000, 87)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train_redcution.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "降维后，仅通过87维数据就保留了原样本90%的数据。使用降维后的数据再训练KNN模型。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 542 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=None, n_neighbors=5, p=2,\n",
       "           weights='uniform')"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf = KNeighborsClassifier()\n",
    "%time knn_clf.fit(X_train_redcution, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_test_reduction = pca.transform(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 1min 32s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.9728"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time knn_clf.score(X_test_reduction, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到，PCA降维后的样本训练KNN模型和求解准确率的过程加起来耗时仅为1分30多秒，比原样本直接训练时间缩短很多倍，并且训练出的KNN模型的识别准确率还更高了。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PCA降噪"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 将MNIST数据集中加入一些噪音"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets\n",
    "\n",
    "digits = datasets.load_digits()\n",
    "X = digits.data\n",
    "y = digits.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "noisy_digits = X + np.random.normal(0, 4, size=X.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 从噪音数据集中随机取出100个样本进行绘制"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 64)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "example_digits = noisy_digits[y==0, :][:10]\n",
    "for num in range(1, 10):\n",
    "    # 每个数字取10个样本\n",
    "    X_num = noisy_digits[y==num, :][:10]\n",
    "    example_digits = np.vstack([example_digits, X_num])\n",
    "example_digits.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_digits(data):\n",
    "    fig, axes = plt.subplots(10, 10, figsize=(10, 10), \n",
    "                             subplot_kw={'xticks':[], 'yticks':[]}, \n",
    "                             gridspec_kw=dict(hspace=0.1, wspace=0.1))\n",
    "    for i,ax in enumerate(axes.flat):\n",
    "        ax.imshow(data[i].reshape(8, 8), cmap='binary', interpolation='nearest', clim=(0, 16))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 100 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制这100个样本\n",
    "plot_digits(example_digits)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看出噪音很明显，看不清数字"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=0.5, random_state=None,\n",
       "  svd_solver='auto', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(0.5)\n",
    "pca.fit(noisy_digits)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.n_components_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 对原始数据集进行PCA降维\n",
    "X_reduction = pca.transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 将降维后的数据再转回原来的维度\n",
    "filtered_digits = pca.inverse_transform(X_reduction)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 100 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制经过PCA降噪后的数据\n",
    "plot_digits(filtered_digits)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看出降噪后的绘制的数字明显清晰了很多"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PCA与特征脸"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 准备数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import fetch_lfw_people"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "faces = fetch_lfw_people(data_home=\"test_data/\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['data', 'images', 'target', 'target_names', 'DESCR'])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "faces.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(13233, 2914)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "faces.data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(13233, 62, 47)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "faces.images.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "random_indexes = np.random.permutation(len(faces.data))\n",
    "X = faces.data[random_indexes]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(36, 2914)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "example_faces = X[:36, :]\n",
    "example_faces.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_faces(faces):\n",
    "    fig, axes = plt.subplots(6, 6, figsize=(10, 10), \n",
    "                             subplot_kw={'xticks':[], 'yticks':[]}, \n",
    "                             gridspec_kw=dict(hspace=0.1, wspace=0.1))\n",
    "    for i,ax in enumerate(axes.flat):\n",
    "        ax.imshow(faces[i].reshape(62, 47), cmap='bone')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 36 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_faces(example_faces)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5749"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(faces.target_names)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 特征脸"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 32.8 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=None, random_state=None,\n",
       "  svd_solver='randomized', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time\n",
    "pca = PCA(svd_solver='randomized')\n",
    "pca.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-1.00024389e-02, -1.07663870e-02, -1.17458105e-02, ...,\n",
       "        -5.61105739e-03, -4.22509201e-03, -2.95336079e-03],\n",
       "       [-1.74748823e-02, -1.75350904e-02, -1.80024356e-02, ...,\n",
       "         2.98304185e-02,  2.74749249e-02,  2.54039336e-02],\n",
       "       [ 3.33130248e-02,  3.48621607e-02,  3.74302268e-02, ...,\n",
       "         2.00059488e-02,  1.93080287e-02,  1.82126071e-02],\n",
       "       ...,\n",
       "       [ 4.65948542e-04,  8.74132616e-04, -2.71435268e-03, ...,\n",
       "        -1.49659871e-03,  5.31061785e-04, -3.54361255e-05],\n",
       "       [-9.66472453e-06,  5.48042241e-04, -8.66218295e-04, ...,\n",
       "         9.31051676e-04, -6.30160852e-04,  6.93842187e-04],\n",
       "       [ 9.13142518e-04, -1.42376765e-03,  1.67961535e-03, ...,\n",
       "         1.90317165e-03, -9.36714350e-04,  5.83557296e-04]], dtype=float32)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.components_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2914, 2914)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.components_.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用PCA后的主成分进行绘制出来的人脸就是特征脸，其他的人脸也是这些特征的线性组合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 36 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_faces(pca.components_[:36, :])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 取出特定条件的人脸样本"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 取出数据集中，拥有60个以上样本的人的人脸数据\n",
    "faces = fetch_lfw_people(min_faces_per_person=60, data_home=\"test_data/\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1348, 2914)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "faces.data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['Ariel Sharon', 'Colin Powell', 'Donald Rumsfeld', 'George W Bush',\n",
       "       'Gerhard Schroeder', 'Hugo Chavez', 'Junichiro Koizumi',\n",
       "       'Tony Blair'], dtype='<U17')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "faces.target_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(faces.target_names)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "此时取出的人脸数据集中只有8个人的数据，每个人有超过60个人脸样本"
   ]
  }
 ],
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